The interaction of cracks in brittle fracture. Force and energy approaches
type: Item
instance of: scholarly article
zbMATH Open document ID: 1017.74058
publication date: 2001-12-18T00:00:00Z
Mathematics Subject Classification ID: 74R10
zbMATH DE Number: 1683358
zbMATH Keywords: brittle fracture
zbMATH Keywords: cracks interaction
zbMATH Keywords: crack stability
zbMATH Keywords: force approach
zbMATH Keywords: energy approach
zbMATH Keywords: Irwin criterion
zbMATH Keywords: Griffith's criterion
zbMATH Keywords: rectangular cracks
zbMATH Keywords: variational inequalities
author: Sergei A. Nazarov
MaRDI profile type: Publication
cites work: Unstable growth of tension cracks in brittle solids: stable and unstable bifurcations, snap-through, and imperfection sensitivity
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cites work: [Russian Text Ignored.]
cites work: Q5509552
cites work: Q4024238
cites work: Q3127981
title: The interaction of cracks in brittle fracture. Force and energy approaches
published in: Prikladnaya Matematika i Mekhanika
review text: The author investigates a two-dimensional homogeneous body weakened by a family of rectangular cracks. The cracks begin to develop if at least one crack is not in equilibrium during the loading process. Fracture criteria are written as variational inequalities. The author studies the crack growth problem, and discusses the similarity and differences between Irwin and Griffith's criteria in both ordinary and refined formulations. Some examples are presented.
description: scientific article; zbMATH DE number 1683358